Linked from

The 13 pages that link to Measure space, each with the reason it gives.

• Lebesgue integralNarrower topic: The integral is defined relative to this underlying structure.

• Probability spaceNarrower topic: A probability space is a measure space with total measure one.

• Lp spaceNarrower topic: Lp membership depends on integrating over a specified measure space.

• Almost everywhereNarrower topic: Almost-everywhere claims are defined relative to the measure space in which exceptions are measured.

• Dominated convergence theoremNarrower topic: The theorem is formulated on measure spaces, not only on intervals with ordinary length.

• Uniform integrabilityNarrower topic: The small-set definition depends on measuring subsets of the functions' domain.

• Integrable functionNarrower topic: The domain's measure determines which functions have finite absolute integral.

• Nonmeasurable setNarrower topic: A nonmeasurable set is a subset of the underlying set that is absent from this structure’s sigma-algebra.

• Tonelli's theoremNarrower topic: Tonelli's theorem applies to measurable spaces equipped with measures.

• Lebesgue decomposition theoremNarrower topic: The theorem is formulated for measures defined on a shared measurable space.

• Fatou's lemmaNarrower topic: The functions and integrals in Fatou's lemma are defined on a measure space.

• Hahn decomposition theoremNarrower topic: The theorem partitions the underlying measurable space.